All Quotes

"The study of mathematics is apt to commence in disappointment... We are told that by its aid the stars are weighed and the billions of molecules in a drop of water are counted. Yet, like the ghost of Hamlet's father, this great science eludes the efforts of our mental weapons to grasp it."

"By relieving the brain of all unnecessary work, a good notation sets it free to concentrate on more advanced problems, and in effect increases the mental power of the race."

"It is a profoundly erroneous truism, repeated by all copy-books and by eminent people when they are making speeches, that we should cultivate the habit of thinking of what we are doing. The precise opposite is the case. Civilization advances by extending the number of important operations which we can perform without thinking about them. Operations of thought are like cavalry charges in a battle — they are strictly limited in number, they require fresh horses, and must only be made at decisive moments."

"It is a safe rule to apply that, when a mathematical or philosophical author writes with a misty profundity, he is talking nonsense."

"Einstein analyses the ideas of time-order and of simultaneity. Primarily (according to his analysis) time-order only refers to the succession of events at a given place. Accordingly each given place has its own time-order. But these time-orders are not independent in the system of nature, and their correlation is known to us by means of physical measurement. Now ultimately all physical measurement depends upon coincidence in time and place."

"Life is complex in its expression, involving more than percipience, namely desire, emotion, will, and feeling. ... identification of rhythm as the causal counterpart of life; wherever there is some life, only perceptible to us when the analogies are sufficiently close ... The rhythm is then the life, in the sense in which it can be said to be included within nature."

"In its solitariness the spirit asks, What, in the way of value, is the attainment of life? And it can find no such value till it has merged its individual claim with that of the objective universe. Religion is world-loyalty."

"There is a quality of life which lies always beyond the mere fact of life; and when we include the quality in the fact, there is still omitted the quality of the quality."

"Rightness of limitation is essential for growth of reality. Unlimited possibility and abstract creativity can procure nothing. The limitation, and the basis arising from what is already actual, are both of them necessary and interconnected."

"We think in generalities, but we live in detail. To make the past live, we must perceive it in detail in addition to thinking of it in generalities."

"We do not require elaborate training merely in order to refrain from embarking upon intricate trains of inference. Such abstinence is only too easy."

"It is the first step in sociological wisdom, to recognize that the major advances in civilization are processes which all but wreck the societies in which they occur:—like unto an arrow in the hand of a child. The art of free society consists first in the maintenance of the symbolic code; and secondly in fearlessness of revision, to secure that the code serves those purposes which satisfy an enlightened reason. Those societies which cannot combine reverence to their symbols with freedom of revision, must ultimately decay either from anarchy, or from the slow atrophy of a life stifled by useless shadows."

"Scientists, animated by the purpose of proving they are purposeless, constitute an interesting subject for study."

"Men can be provincial in time, as well as in place."

"Philosophy, in one of its functions, is the critic of cosmologies. It is its function to harmonise, refashion, and justify divergent intuitions as to the nature of things. It has to insist on the scrutiny of the ultimate ideas, and on the retention of the whole of the evidence in shaping our cosmological scheme. Its business is to render explicit, and — so far as may be — efficient, a process which otherwise is unconsciously performed without rational tests."

"The Reformation was a popular uprising, and for a century and a half drenched Europe in blood. The beginnings of the Scientific movement were confined to a minority among the intellectual elite.… [T]he worst that happened to men of science was that Galileo suffered an honorable detention and a mild reproof, before dying peacefully in his bed. The way in which the persecution of Galileo has been remembered is a tribute to the quiet commencement of the most intimate change in outlook which the human race had yet encountered. Since a babe was born in a manger, it may be doubted whether so great a thing has happened with so little stir."

"The new tinge to modern minds is a vehement and passionate interest in the relation of general principles to irreducible and stubborn facts. All the world over and at all times there have been practical men, absorbed in 'irreducible and stubborn facts'; all the world over and at all times there have been men of philosophic temperament, who have been absorbed in the weaving of general principles. It is this union of passionate interest in the detailed facts with equal devotion to abstract generalisation which forms the novelty of our present society."

"More and more it is becoming evident that what the West can most readily give to the East is its science and its scientific outlook. This is transferable from country to country, and from race to race, wherever there is a rational society."

"Familiar things happen, and mankind does not bother about them. It requires a very unusual mind to undertake the analysis of the obvious."

"The science of pure mathematics, in its modern developments, may claim to be the most original creation of the human spirit."

"[T]he pursuit of mathematics is a divine madness of the human spirit."

"Nothing is more impressive than the fact that as mathematics withdrew increasingly into the upper regions of ever greater extremes of abstract thought, it returned back to earth with a corresponding growth of importance for the analysis of concrete fact. ...The paradox is now fully established that the utmost abstractions are the true weapons with which to control our thought of concrete fact."

"If you have had your attention directed to the novelties in thought in your own lifetime, you will have observed that almost all really new ideas have a certain aspect of foolishness when they are first produced."

"When you are criticising the philosophy of an epoch, do not chiefly direct your attention to those intellectual positions which its exponents feel it necessary explicitly to defend. There will be some fundamental assumptions which adherents of all the variant systems within the epoch unconsciously presuppose. Such assumptions appear so obvious that people do not know what they are assuming because no other way of putting things has ever occurred to them. With these assumptions a certain limited number of types of philosophic systems are possible, and this group of systems constitutes the philosophy of the epoch."

"[T]he order of nature cannot be justified by the mere observation of nature. For there is nothing in the present fact which inherently refers either to the past or to the future.… [I]t illustrates the anti-rationalism of the scientific public that, when Hume did appear, it was only the religious implications of his philosophy which attracted attention. This was because the clergy were in principle rationalists, whereas the men of science were content with a simple faith in the order of nature."

"[N]ature gets credit which should in truth be reserved for ourselves: the rose for its scent: the nightingale for his song: and the sun for his radiance. The poets are entirely mistaken. They should address their lyrics to themselves, and should turn them into odes of self-congratulation on the excellency of the human mind."

"You cannot think without abstractions; accordingly, it is of the utmost importance to be vigilant in critically revising your modes of abstraction. It is here that philosophy finds its niche as essential to the healthy progress of society. It is the critic of abstractions. A civilisation which cannot burst through its current abstractions is doomed to sterility."

"No epoch is homogeneous; whatever you may have assigned as the dominant note of a considerable period, it will always be possible to produce men, and great men, belonging to the same time, who exhibit themselves as antagonistic to the tone of their age."

"[N]ature is a structure of evolving processes. The reality is the process."

"It is in literature that the concrete outlook of humanity receives its expression."

"The relevant poems are Milton's Paradise Lost, Pope's Essay on Man, Wordsworth's Excursion, Tennyson's In Memoriam."

"In a certain sense, everything is everywhere at all times. For every location involves an aspect of itself in every other location. Thus every spatio-temporal standpoint mirrors the world."

"In a sense, all explanation must end in an ultimate arbitrariness."

"The salvation of reality is its obstinate, irreducible, matter-of-fact entities, which are limited to be no other than themselves. Neither science, nor art, nor creative action can tear itself away from obstinate, irreducible, limited facts."

"The greatest invention of the nineteenth century was the invention of the method of invention."

"In the past human life was lived in a bullock cart; in the future it will be lived in an aeroplane; and the change of speed amounts to a difference in quality."

"Any physical object which by its influence deteriorates its environment, commits suicide."

"Heaven knows what seeming nonsense may not to-morrow be demonstrated truth."

"All science must start with some assumptions as to the ultimate analysis of the facts with which it deals. These assumptions are justified partly by their adherence to the types of occurrence of which we are directly conscious, and partly by their success in representing the observed facts with a certain generality, devoid of ad hoc suppositions."

"Epochs do not rise from the dead.… [W]hereas you can make a replica of an ancient statue, there is no possible replica of an ancient state of mind. There can be no nearer approximation than that which a masquerade bears to real life. There may be understanding of the past, but there is a difference between the modern and the ancient reactions to the same stimuli."

"Every human being is the natural guardian of his own importance."

"The ancient world takes its stand upon the drama of the Universe, the modern world upon the inward drama of the Soul."

"The ultimate metaphysical principle is the advance from disjunction to conjunction, creating a novel entity other than the entities given in disjunction."

"Often things realised in thought are more vivid than than the same things in inattentive physical experience. But the things apprehended as mental are always subject to the condition that we come to a stop when we come to explore ever higher grades of complexity in their realised relationships. We always find that we have thought of just this — whatever it may be — and of no more."

"No reason can be given for the nature of God, because that nature is the ground of all rationality."

"He has been named respectively, Jehovah, Allah, Brahma, Father in Heaven, Order of Heaven, First Cause, Supreme Being, Chance. Each name corresponds to a system of thought derived from the experiences of those who have used it.Among medieval and modern philosophers, anxious to establish the religious significance of God, an unfortunate habit has prevailed of paying Him metaphysical compliments. He has been conceived as the foundation of the metaphysical situation with its ultimate activity. If this conception be adhered to, there can be no alternative except to discern in Him the origin of all evil as well as of all good. He is then the supreme author of the play, and to Him must therefore be ascribed its shortcomings as well as its success."

"It belongs to the self-respect of intellect to pursue every tangle of thought to its final unravelment."

"A clash of doctrines is not a disaster — it is an opportunity."

"In formal logic, a contradiction is the signal of a defeat; but in the evolution of real knowledge it marks the first step in progress towards a victory."

"[W]e cannot think first and act afterwards. From the moment of birth we are immersed in action, and can only fitfully guide it by taking thought."